Existence and uniqueness results for perturbed Neumann boundary value problems

DOI10.1155/2010/494210zbMath1215.34033OpenAlexW2117567457WikidataQ59253483 ScholiaQ59253483MaRDI QIDQ1957505

Jie Ming Zhang, Cheng-Bo Zhai

Publication date: 27 September 2010

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225859

zbMATH Keywords

Green's functionpositive solutionNeumann boundary problem\(\alpha\)-concave operator

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (3)

\(\varphi\)-\((h,e)\)-concave operators and applications ⋮ Uniqueness of positive solutions for several classes of sum operator equations and applications ⋮ Unnamed Item

Cites Work

• Positive solutions for second-order superlinear repulsive singular Neumann boundary value problems
• Symmetry and uniqueness of positive solutions for a Neumann boundary value problem
• A positive operator approach to the Neumann problem for a second order ordinary differential equation
• Multiple positive solutions to second-order Neumann boundary value problems.
• Monotone method for singular Neumann problem
• Three positive solutions for second-order Neumann boundary value problems.
• Positive solutions of operator equations on ordered Banach spaces and applications
• Sign-changing solutions on a kind of fourth-order Neumann boundary value problem
• Existence result for the problem (φ(u′))′ = f(t, u, u′) with periodic and Neumann boundary conditions

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